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Finding the Third Proportional to 454,123.97 and 1,070,497.27

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Solution

The third proportional to 454,123.97 and 1,070,497.27 is: 2,523,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,123.97 : 1,070,497.27 = 1,070,497.27 : x
  2. Step 2: Convert to fraction form
    454,123.97/1,070,497.27 = 1,070,497.27/x
  3. Step 3: Cross multiply
    454,123.97x = 1,070,497.27 × 1,070,497.27
  4. Step 4: Simplify right side
    454,123.97x = 1,145,964,395,710.60
  5. Step 5: Solve for x
    x = 1,145,964,395,710.60/454,123.97
  6. Step 6: Final answer
    x = 2,523,461.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.